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<p>very differently in high dimensional settings. We next give explicit mathematical definitions for the population problem and highlight the different objects in the so-called canonical decomposition - understanding the differences between these objects is crucial for interpretation of the technique.</p>

<p><big>Population CCA definition via correlations</big></p>
<p>Given two <a href="page.php?w=column_vectors">column vectors</a>  and  of <a href="page.php?w=random_variable">random variable</a>s with <a href="page.php?w=Wikt%3Afinite">finite</a> <a href="page.php?w=second_moments">second moments</a>,</p><p>
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